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Finding the Third Proportional to 61,521 and 130,332

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Solution

The third proportional to 61,521 and 130,332 is: 276,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,521 : 130,332 = 130,332 : x
  2. Step 2: Convert to fraction form
    61,521/130,332 = 130,332/x
  3. Step 3: Cross multiply
    61,521x = 130,332 × 130,332
  4. Step 4: Simplify right side
    61,521x = 16,986,430,224
  5. Step 5: Solve for x
    x = 16,986,430,224/61,521
  6. Step 6: Final answer
    x = 276,107.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.